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kolbaska11 [484]
3 years ago
13

Rita earns $17.00 per hour. If she gets a 6% raise, what will be her new hourly wage?

Mathematics
1 answer:
ipn [44]3 years ago
8 0

multiply 17 by 6%

17 * 0.06 = 1.02 increase

17 +1.02 = 18.02 new hourly wage

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WILL MARK BRAINLIEST <br><br> what is the domain of (f/g) (x)?
tatyana61 [14]

Given that f(x) = \sqrt{7-x} and g(x) = \sqrt{x + 2}, we can say the following:

\Bigg(\dfrac{f}{g}\Bigg)(x) = \dfrac{f (x)}{g(x)} = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}


Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).


Thus, let's set what is under both square roots to be greater than 0:

\sqrt{7 - x} \Rightarrow 7 - x \geq 0 \Rightarrow x \leq 7

\sqrt{x + 2} \Rightarrow x + 2 \geq 0 \Rightarrow x \geq -2


Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.

x \leq 7 \,\,\cup x \geq -2 = \boxed{-2 \leq x \leq 7}


Now, let's look back at the function entirely, which is:

\Bigg( \dfrac{f}{g} \Bigg)(x) = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}

Since \sqrt{x + 2} is on the bottom of the fraction, we must say that \sqrt{x + 2} \neq 0, since the denominator can't equal 0. Thus, we must exclude \sqrt{x + 2} = 0 \Rightarrow x + 2 = 0 \Rightarrow x = -2 from the domain.


Thus, our answer is Choice C, or \boxed{ \{ x | -2 < x \leq 7 \}}.


<em>If you are wondering why the choices begin with the x | symbol, it is because this is a way of representing that x lies within a particular set.</em>

6 0
3 years ago
Can somebody tell me what is 30% of 240
vagabundo [1.1K]

Answer:

72

Step-by-step explanation:

4 0
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The base of a triangular garden measures 5.5 feet. It takes 33 pounds of mulch to cover the garden. If 4 pounds of mulch are nee
Stells [14]
The dimensions given when you have a triangle is the base and height of the triangle. The formula for the area is

A = 0.5bh

The unknown here is h. We can determine that from the cost of mulch that covers the whole area of the triangle. The equation would be:

4A = 33

Substituting A = 0.5*5.5*h = 2.75h to the equation:

4(2.75h) = 33
11h = 33
h = 33/11
h = 3 feet
4 0
3 years ago
Calculate the volume of this cylinder, giving your answer to 1 decimal place.<br>9 cm<br>20 cm​
Marat540 [252]

Answer: 0.45

Step-by-step explanation:

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The sum of two positive numbers is 588. minimize the sum of the first and three times the second
Marianna [84]

9514 1404 393

Answer:

  {587, 1}

Step-by-step explanation:

The sum will be minimized when the second number is as close to zero as is allowed. If the numbers must be positive integers, the sum is minimized when the numbers are {587, 1}.

If the numbers may be real numbers, then the values that minimize the sum are {588-, 0+}

_____

The "cost" of taking a unit from the sum 588 and assigning it to the second number is that the sum of first and 3 times the second goes up by 3. In order to minimize that sum, the second number must be minimized.

6 0
3 years ago
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